A Primer on Mapping Class Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Farb, Benson; Margalit, Dan; 作者

譯者

2011-9 出版日期

488 頁數

$ 84.75 價格

叢書系列

9780691147949 圖書編碼

A Primer on Mapping Class Groups 在線電子書圖書標籤: 低維拓撲模空間小徑分岔的花園 topology GeoTopo

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A Primer on Mapping Class Groups 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

A Primer on Mapping Class Groups 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

A Primer on Mapping Class Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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A Primer on Mapping Class Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

A Primer on Mapping Class Groups 在線電子書圖書描述

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

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